Question

drag each label to the correct location on the graph. not all tiles will be used.

tony opens a savings account. the graph represents the amount of money in dollars that tony expects to deposit in his account in terms of the number of years since opening the account.

graph details:

• vertical axis: deposited (dollars) with values 2,500, 5,000, 7,500, 10,000, 12,500
• horizontal axis: time (years) with values 1, 2, 3, 4, 5
• a linear graph starting at (0, 5000) and passing through (3, 12500)
• equation box: \\(y = \\)
• rate of change box: rate of change = dollars per year
• initial value box: initial value = dollars

tiles:
2,500
7,500
5,000
2,500 + 5,000x
5,000 + 2,500x
5,000 + 7,500x

Explanation:

Determine the initial value

$$ \text{Initial value} = y\text{-intercept} = 5,000 $$

Calculate the rate of change

$$
LATEXBLOCK0
$$

Formulate the linear equation

$$ y = 5,000 + 2,500x $$

Answer:

Tony opens a savings account. The graph represents the amount of money in dollars that Tony expects to deposit in his account in terms of the number of years since opening the account.

\(y =\) <blank>\(5,000 + 2,500x\)</blank>

rate of change = <blank>\(2,500\)</blank> dollars per year

initial value = <blank>\(5,000\)</blank> dollars